What is the Greatest Common Factor of 34475 and 34482?

Greatest common factor (GCF) of 34475 and 34482 is 7.

GCF(34475,34482) = 7

We will now calculate the prime factors of 34475 and 34482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34475 and 34482.

How to find the GCF of 34475 and 34482?

We will first find the prime factorization of 34475 and 34482. After we will calculate the factors of 34475 and 34482 and find the biggest common factor number .

Step-1: Prime Factorization of 34475

Prime factors of 34475 are 5, 7, 197. Prime factorization of 34475 in exponential form is:

34475 = 5² × 7¹ × 197¹

Step-2: Prime Factorization of 34482

Prime factors of 34482 are 2, 3, 7, 821. Prime factorization of 34482 in exponential form is:

34482 = 2¹ × 3¹ × 7¹ × 821¹

Step-3: Factors of 34475

List of positive integer factors of 34475 that divides 34475 without a remainder.

1, 5, 7, 25, 35, 175, 197, 985, 1379, 4925, 6895

Step-4: Factors of 34482

List of positive integer factors of 34482 that divides 34475 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 821, 1642, 2463, 4926, 5747, 11494, 17241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34475 and 34482. The biggest common factor number is the GCF number.
So the greatest common factor 34475 and 34482 is 7.

Also check out the Least Common Multiple of 34475 and 34482